一维SU（4）吸引费米子的配对态、三重态和四重态的统一描述
Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
摘要：
利用Bethe近似计算方法研究了一维SU（4）吸引费米子中的配对态、三重态和四重态。特别地，在临界点附近从四分相到正常费米液体、三重态和自旋2配对态的量子相变都属于线性场相关磁化的普适类.此外，给出了具有外场的同位旋$S=1/2, 1, 3/2$吸引费米子的基态能量、化学势和完整相图的统一精确结果。还识别了$m^z=M_s/3$和$m^z=2M_s/3$的磁化平台，其中$M_s$是磁化饱和值。有限尺寸修正和集体色散关系的普遍性为低能有效场论提供了进一步的检验基础。
英文摘要：
Paired states, trions and quarteting states in one-dimensional SU(4) attractive fermions are investigated via exact Bethe ansatz calculations. In particular, quantum phase transitions are identified and calculated from the quarteting phase into normal Fermi liquid, trionic states and spin-2 paired states which belong to the universality class of linear field-dependent magnetization in the vicinity of critical points. Moreover, unified exact results for the ground state energy, chemical potentials and complete phase diagrams for isospin $S=1/2, 1, 3/2$ attractive fermions with external fields are presented. Also identified are the magnetization plateaux of $m^z=M_s/3$ and $m^z=2M_s/3$, where $M_s$ is the magnetization saturation value. The universality of finite-size corrections and collective dispersion relations provides a further test ground for low energy effective field theory.
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